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For each set of lines, say whether they are parallel or not parallel.

Mathematics

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Let's explore these sets of lines.

  1. Recall the definition of parallel lines.

    • Parallel lines are always the same distance apart along their whole length, travel in the same direction, and never cross one another.
  2. Analyze each set of lines.

    • a. These three lines appear to be equidistant from each other and extend in the same direction without converging or diverging.

      • Answer: Parallel\boxed{\text{Parallel}}
    • b. These two lines are not the same distance apart along their length. If extended, they would eventually intersect.

      • Answer: Not parallel\boxed{\text{Not parallel}}
    • c. These two lines appear to be equidistant from each other and extend in the same direction without converging or diverging.

      • Answer: Parallel\boxed{\text{Parallel}}
    • d. These two lines clearly intersect at a point.

      • Answer: Not parallel\boxed{\text{Not parallel}}
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